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This study investigates 2D electromagnetohydrodynamic (EMHD) flow in microchannels with corrugated walls. Wall corrugations reduce flow rate, with effects depending on wall wave characteristics and Hartmann number.

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Area of Science:

  • Fluid Dynamics
  • Electromagnetohydrodynamics (EMHD)
  • Microfluidics

Background:

  • Investigates 2D EMHD flow within microparallel channels.
  • Focuses on the impact of slightly transverse corrugated walls with sinusoidal waves.
  • Addresses the need to understand flow behavior in microdevices with non-ideal channel geometries.

Purpose of the Study:

  • To analyze the effects of wall corrugations on EMHD flow rate and resistance.
  • To derive perturbation solutions for stream function and flow rate-roughness relationship.
  • To determine how parameters like phase difference, Hartmann number, and wave number influence flow characteristics.

Main Methods:

  • Employs the perturbation method for analytical solutions.
  • Calculates perturbation solutions for stream function.
  • Derives a relationship between flow rate and wall roughness.

Main Results:

  • Flow rate consistently decreases due to wall corrugations, regardless of phase difference.
  • Flow resistance increases with the phase difference between wall corrugations.
  • The influence of corrugations on flow rate diminishes with increasing Hartmann number but increases with wave number.

Conclusions:

  • Wall corrugations in microchannels generally reduce flow rate in EMHD.
  • The phase difference of wall corrugations becomes negligible for wave numbers greater than 4.
  • Results align qualitatively with experimental data for flow rates versus applied current.